Given numbers are 825,128,319,319

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 825,128,319,319 is 3062400.

Find LCM of 825,128,319,319 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

11 x 29 x 75 x 128 x 1 x 1 = 3062400

Therefore, the lowest common multiple of 825,128,319,319 is 3062400.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

825 x 128 x 319 x 319 = 10745961600

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

128 : 1, 2, 4, 8, 16, 32, 64, 128

319 : 1, 11, 29, 319

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,128,319,319, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

128:2x 2x 2x 2x 2x 2x 2

319:11x 29

319:11x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 11x 29 = 3509

Therefore, the value for common factors is 3509.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 10745961600/(1x3509)

LCM = 10745961600/3509

LCM = 3062400

Thus, we can understand that the LCM of 825,128,319,319 is 3062400.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 529, 394, 896, 266
• LCM of 975, 499, 757, 464
• LCM of 357, 421, 930, 142
• LCM of 203, 956, 180, 133
• LCM of 478, 599, 503, 768

1. What is the LCM of 825, 128, 319, 319?

Answer: LCM of 825, 128, 319, 319 is 3062400.

2. How to calculate the LCM of 825, 128, 319, 319?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 825, 128, 319, 319.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.